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Finding the Fourth Proportional to 5,406, 8,098.51 and 3,551.49

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Solution

The fourth proportional to 5,406, 8,098.51 and 3,551.49 is: 5,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406 : 8,098.51 = 3,551.49 : x
  2. Step 2: Convert to fraction form
    5,406/8,098.51 = 3,551.49/x
  3. Step 3: Cross multiply
    5,406x = 8,098.51 × 3,551.49
  4. Step 4: Simplify right side
    5,406x = 28,761,777.28
  5. Step 5: Solve for x
    x = 28,761,777.28/5,406
  6. Step 6: Final answer
    x = 5,320.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.